Question

Consider the system consisting of two blocks connected by a rope and a pulley. The coefficient of static friction between the ramp and the block on the ramp is 0.36. You may assume the tension in the string connecting the two blocks is the same for all parts of the string. The two arrows define a coordinate system for the block on the ramp. The x axis is parallel to the ramp, the y axis is perpendicular to the ramp. The angle the ramp makes with the horizontal ground is 35 degrees. The block on the ramp has a weight of 13 Newtons.
Required:
What is the heaviest weight that can be hung below the pulley without the block on the ramp moving?

Answer 1

Answer:

1.2 kg

Explanation:

Let UP ramp be the positive direction

                                                  F = ma

   T     -   Wt ||      -         Ff            = m(0)

  mg   -  Μgsinθ -      μΜgcosθ    = 0

m(9.8) - 13sin35 - 0.36(13)cos35 = 0        

                                                 m = 13(sin35 + 0.36cos35) / 9.8

                                                 m = 1.15205... ≈ 1.2 kg